From 64c6745c7665681c994010a6cc482d826855a0da Mon Sep 17 00:00:00 2001 From: Jens Ahrensfeld Date: Thu, 21 Aug 2025 07:27:52 +0200 Subject: [PATCH] added matlab --- matlab/env/eval_adsr.asv | 53 ++++++++++ matlab/env/eval_adsr.m | 52 ++++++++++ matlab/env/eval_adsr.m.bak | 56 +++++++++++ matlab/env/eval_adsr2.asv | 52 ++++++++++ matlab/filter/eval_vcf_lut.asv | 18 ++++ matlab/filter/eval_vcf_lut.m | 23 +++++ matlab/lfo/eval_lfo.asv | 34 +++++++ matlab/lfo/eval_lfo.m | 44 ++++++++ matlab/lfo/eval_lfo2.asv | 47 +++++++++ matlab/lfo/eval_lfo2.m | 47 +++++++++ matlab/lfo/eval_smooth.asv | 21 ++++ matlab/lfo/eval_smooth.m | 34 +++++++ matlab/lfo/lfo.wav | Bin 0 -> 160044 bytes matlab/limiter/eval_limiter.asv | 38 +++++++ matlab/limiter/eval_limiter.m | 38 +++++++ matlab/limiter/limit_test1.wav | Bin 0 -> 105884 bytes matlab/limiter/limit_test2.wav | Bin 0 -> 132344 bytes matlab/limiter/limiter_out.wav | Bin 0 -> 132344 bytes matlab/midi/eval_midi_sync.asv | 77 ++++++++++++++ matlab/midi/eval_midi_sync.m | 75 ++++++++++++++ matlab/osc/blep/eval_minblep.asv | 116 +++++++++++++++++++++ matlab/osc/blep/eval_minblep.m | 116 +++++++++++++++++++++ matlab/osc/blep/eval_minblep_pre.asv | 33 ++++++ matlab/osc/blep/eval_minblep_pre.m | 33 ++++++ matlab/osc/blip/blep.wav | Bin 0 -> 96044 bytes matlab/osc/blip/blit.wav | Bin 0 -> 80044 bytes matlab/osc/blip/c3.wav | Bin 0 -> 80044 bytes matlab/osc/blip/c4.wav | Bin 0 -> 80044 bytes matlab/osc/blip/eval_blep.asv | 96 ++++++++++++++++++ matlab/osc/blip/eval_blep.m | 90 +++++++++++++++++ matlab/osc/blip/eval_blep_hs.asv | 105 +++++++++++++++++++ matlab/osc/blip/eval_blep_hs.m | 145 +++++++++++++++++++++++++++ matlab/osc/blip/eval_blit.asv | 103 +++++++++++++++++++ matlab/osc/blip/eval_blit.bak.m | 116 +++++++++++++++++++++ matlab/osc/blip/eval_blit.m | 89 ++++++++++++++++ matlab/osc/blip/eval_blit2.m | 128 +++++++++++++++++++++++ matlab/osc/blip/eval_blit3.m | 68 +++++++++++++ matlab/osc/blip/eval_blit4.asv | 92 +++++++++++++++++ matlab/osc/blip/eval_blit4.m | 88 ++++++++++++++++ matlab/osc/eval_hardsync.asv | 125 +++++++++++++++++++++++ matlab/osc/eval_hardsync.m | 107 ++++++++++++++++++++ matlab/osc/eval_harmonics.asv | 11 ++ matlab/osc/eval_harmonics.m | 11 ++ matlab/osc/saw.wav | Bin 0 -> 96044 bytes matlab/osc/sqr.wav | Bin 0 -> 48044 bytes matlab/osc/tri.wav | Bin 0 -> 48044 bytes matlab/params/paramscale.asv | 66 ++++++++++++ matlab/params/paramscale.m | 13 +++ matlab/params/toParam.m | 28 ++++++ matlab/params/toSlider.m | 28 ++++++ 50 files changed, 2516 insertions(+) create mode 100755 matlab/env/eval_adsr.asv create mode 100755 matlab/env/eval_adsr.m create mode 100755 matlab/env/eval_adsr.m.bak create mode 100755 matlab/env/eval_adsr2.asv create mode 100755 matlab/filter/eval_vcf_lut.asv create mode 100755 matlab/filter/eval_vcf_lut.m create mode 100755 matlab/lfo/eval_lfo.asv create mode 100755 matlab/lfo/eval_lfo.m create mode 100755 matlab/lfo/eval_lfo2.asv create mode 100755 matlab/lfo/eval_lfo2.m create mode 100755 matlab/lfo/eval_smooth.asv create mode 100755 matlab/lfo/eval_smooth.m create mode 100755 matlab/lfo/lfo.wav create mode 100755 matlab/limiter/eval_limiter.asv create mode 100755 matlab/limiter/eval_limiter.m create mode 100755 matlab/limiter/limit_test1.wav create mode 100755 matlab/limiter/limit_test2.wav create mode 100755 matlab/limiter/limiter_out.wav create mode 100755 matlab/midi/eval_midi_sync.asv create mode 100755 matlab/midi/eval_midi_sync.m create mode 100755 matlab/osc/blep/eval_minblep.asv create mode 100755 matlab/osc/blep/eval_minblep.m create mode 100755 matlab/osc/blep/eval_minblep_pre.asv create mode 100755 matlab/osc/blep/eval_minblep_pre.m create mode 100755 matlab/osc/blip/blep.wav create mode 100755 matlab/osc/blip/blit.wav create mode 100755 matlab/osc/blip/c3.wav create mode 100755 matlab/osc/blip/c4.wav create mode 100755 matlab/osc/blip/eval_blep.asv create mode 100755 matlab/osc/blip/eval_blep.m create mode 100755 matlab/osc/blip/eval_blep_hs.asv create mode 100755 matlab/osc/blip/eval_blep_hs.m create mode 100755 matlab/osc/blip/eval_blit.asv create mode 100755 matlab/osc/blip/eval_blit.bak.m create mode 100755 matlab/osc/blip/eval_blit.m create mode 100755 matlab/osc/blip/eval_blit2.m create mode 100755 matlab/osc/blip/eval_blit3.m create mode 100755 matlab/osc/blip/eval_blit4.asv create mode 100755 matlab/osc/blip/eval_blit4.m create mode 100755 matlab/osc/eval_hardsync.asv create mode 100755 matlab/osc/eval_hardsync.m create mode 100755 matlab/osc/eval_harmonics.asv create mode 100755 matlab/osc/eval_harmonics.m create mode 100755 matlab/osc/saw.wav create mode 100755 matlab/osc/sqr.wav create mode 100755 matlab/osc/tri.wav create mode 100755 matlab/params/paramscale.asv create mode 100755 matlab/params/paramscale.m create mode 100755 matlab/params/toParam.m create mode 100755 matlab/params/toSlider.m diff --git a/matlab/env/eval_adsr.asv b/matlab/env/eval_adsr.asv new file mode 100755 index 0000000..639a5c2 --- /dev/null +++ b/matlab/env/eval_adsr.asv @@ -0,0 +1,53 @@ +function eval_adsr(Ta, Td, Vs, Tr, ks) + +% eval_adsr(0.1, 0.2, 0.2, 0.2) + +fs = 1000; + +a_a = -log(1-ks)/(Ta*fs); +a_d = 5/(Td*fs); +a_r = 5/(Tr*fs); +state = 0; +s = 0; +tol = 1E-4; +n = 1; +p = 0; +k = 1/ks; +while (1), + + if state == 0 % Attack + s = a_a + (1-a_a)*s; + y(n) = k*s; + if s >= (ks-tol) + state = 1; + s = 1-ks; + end; + end; + if state == 1 % Decay + s = (1-a_d)*s; + y(n) = s/(1-ks); + if s <= (Vs+tol) + state = 2; + p = 0; + end; + end; + if state == 2 % sustain + y(n) = Vs; + if p >= 1*fs + state = 3; + s = Vs; + end; + p = p + 1; + end; + if state == 3 % Release + s = (1-a_r)*s; + y(n) = s; + if s <= (tol) + break; + end; + end; + n = n + 1; +end; + +plot((0:n-1)/fs, y); grid; +set(gca,'xtick',[0:0.1:(n-1)/fs]) diff --git a/matlab/env/eval_adsr.m b/matlab/env/eval_adsr.m new file mode 100755 index 0000000..f1da472 --- /dev/null +++ b/matlab/env/eval_adsr.m @@ -0,0 +1,52 @@ +function eval_adsr(Ta, Td, Vs, Tr, ks) + +% eval_adsr(0.1, 0.2, 0.2, 0.2) + +fs = 1000; + +a_a = -log(1-ks)/(Ta*fs); +a_d = 5/(Td*fs); +a_r = 5/(Tr*fs); +state = 0; +s = 0; +tol = 1E-4; +n = 1; +p = 0; +k = 1/ks; +while (1), + + if state == 0 % Attack + s = a_a + (1-a_a)*s; + y(n) = s/ks; + if s >= (ks-tol) + state = 1; + end; + end; + if state == 1 % Decay + s = (1-a_d)*s; + y(n) = s/(ks); + if s <= (Vs*ks+tol) + state = 2; + p = 0; + end; + end; + if state == 2 % sustain + y(n) = Vs; + if p >= 1*fs + state = 3; + s = Vs; + end; + p = p + 1; + end; + if state == 3 % Release + s = (1-a_r)*s; + y(n) = s; + if s <= (tol) + break; + end; + end; + n = n + 1; +end; + +plot((0:n-1)/fs, y); grid; +set(gca,'xtick',[0:0.1:(n-1)/fs]) diff --git a/matlab/env/eval_adsr.m.bak b/matlab/env/eval_adsr.m.bak new file mode 100755 index 0000000..292415e --- /dev/null +++ b/matlab/env/eval_adsr.m.bak @@ -0,0 +1,56 @@ +function eval_adsr(Ta, Td, Vs, Tr) + +% eval_adsr(0.1, 0.2, 0.2, 0.2) + +fs = 10000; + +aa = 1/(Ta*fs) +ba = (1-aa) +a_d = 5/(Td*fs) +a_r = 5/(Tr*fs) +state = 0; +s = 0; +tol = 1E-4; +ke = 1-exp(-1) +n = 0; +p = 0; +k = 1/ke; +kk = 0; +s +while (1), + + if state == 0 + s = aa + ba*s; + if s >= (ke-tol) + state = 1; + k = (1-Vs)/ke; + kk = Vs; + end; + end; + if state == 1 + s = (1-a_d)*s; + if s <= (tol) + state = 2; + s = 1; + k = Vs; + kk = 0; + p = 0; + end; + end; + if state == 2 + if p >= 0.1*fs + state = 3; + end; + p = p + 1; + end; + if state == 3 + s = (1-a_r)*s; + if s <= (tol) + break; + end; + end; + n = n + 1; + y(n) = k*s + kk; +end; + +plot((0:n-1)/fs, 0.8-y); grid; \ No newline at end of file diff --git a/matlab/env/eval_adsr2.asv b/matlab/env/eval_adsr2.asv new file mode 100755 index 0000000..7f35ca1 --- /dev/null +++ b/matlab/env/eval_adsr2.asv @@ -0,0 +1,52 @@ +function eval_adsr(Ta, Td, Vs, Tr) + +% eval_adsr(0.1, 0.2, 0.2, 0.2) + +fs = 1000; + +a_a = 1/(Ta*fs); +a_d = -1/(Td*fs/log(Vs)) +a_d = 5/(Td*fs) +a_r = 5/(Tr*fs) +state = 0; +s = 0; +tol = 1E-4; +target = 1; +n = 0; +p = 0; +k = 1/0.63; +while (1), + + if state == 0 % Attack + s = a_a + (1-a_a)*s; + if s >= (0.63-tol) + state = 1 + target = Vs; + end; + end; + if state == 1 % Decay + s = (1-a_d)*s; + if s <= (0.63*Vs+tol) + state = 2 + target = 0; + p = 0; + end; + end; + if state == 2 % sustain + s = Vs/k; + if p >= 1*fs + state = 3 + end; + p = p + 1; + end; + if state == 3 % Release + s = (1-a_r)*s; + if s <= (target+tol) + break; + end; + end; + n = n + 1; + y(n) = k*s; +end; + +plot((0:n-1)/fs, y); grid; \ No newline at end of file diff --git a/matlab/filter/eval_vcf_lut.asv b/matlab/filter/eval_vcf_lut.asv new file mode 100755 index 0000000..e408946 --- /dev/null +++ b/matlab/filter/eval_vcf_lut.asv @@ -0,0 +1,18 @@ +function eval_vcf_lut() +N = 1000; +fs = 48000; +fmin = 18; +fmax = 18000; +sweepbase = 10; + +filterParam = struct('sweepbase', 10, 'omega_min', 2*fmin/fs, 'omega_max', 2*fmax/fs, 'num_octaves', log(fmax/fmin)/log(sweepbase)); +filterParam + +cv = (0:N-1)/N; +plot (c +function cv = omega2cv(filterParam, omega) + cv = log(omega/filterParam.omega_min)/(filterParam.num_octaves * log(filterParam.sweepbase)); + cv = min(1, max(0, cv)); + +function omega = cv2omega(filterParam, cv) + omega = filterParam.omega_min*filterParam.sweepbase ^ (filterParam.num_octaves*min(1, max(0, cv))); diff --git a/matlab/filter/eval_vcf_lut.m b/matlab/filter/eval_vcf_lut.m new file mode 100755 index 0000000..149bd36 --- /dev/null +++ b/matlab/filter/eval_vcf_lut.m @@ -0,0 +1,23 @@ +function eval_vcf_lut() +N = 1000; +fs = 48000; +fmin = 18; +fmax = 18000; +sweepbase = 10; + +filterParam = struct('sweepbase', 10, 'omega_min', fmin/fs, 'omega_max', fmax/fs, 'num_octaves', log(fmax/fmin)/log(sweepbase)); +filterParam + +cv = (0:N-1)/N; + +subplot(2, 1, 1) +plot (cv, fs*cv2omega(filterParam, cv)); grid; legend('F'); xlabel('cv'); +subplot(2, 1, 2) +plot (cv, cos(2*pi*cv2omega(filterParam, cv)), cv, sin(2*pi*cv2omega(filterParam, cv))); grid; legend('kc', 'ks'); xlabel('cv'); + +function cv = omega2cv(filterParam, omega) + cv = log(omega/filterParam.omega_min)/(filterParam.num_octaves * log(filterParam.sweepbase)); + cv = min(1, max(0, cv)); + +function omega = cv2omega(filterParam, cv) + omega = filterParam.omega_min*filterParam.sweepbase .^ (filterParam.num_octaves*min(1, max(0, cv))); diff --git a/matlab/lfo/eval_lfo.asv b/matlab/lfo/eval_lfo.asv new file mode 100755 index 0000000..0dcbf9d --- /dev/null +++ b/matlab/lfo/eval_lfo.asv @@ -0,0 +1,34 @@ +function eval_lfo() + +L = 10000; +fs = 44100; +fstart = 40; +fend = 400; +df = (fend-fstart)/L; + +ip = 0 % phase of the first output sample in radians +w = freq*pi / samplerate +b1 = 2.0 * cos(w) + +% Init +y1=sin(ip-w) +y2=sin(ip-2*w) + +% Loop +for n=1:L, + +y0 = b1*y1 - y2 +y2 = y1 +y1 = y0 + + +close all + +figure; +plot(1:L, vsaw, 1:L, vblit); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblit, fs, 'blit.wav'); + diff --git a/matlab/lfo/eval_lfo.m b/matlab/lfo/eval_lfo.m new file mode 100755 index 0000000..27d9f17 --- /dev/null +++ b/matlab/lfo/eval_lfo.m @@ -0,0 +1,44 @@ +function eval_lfo() + +L = 10000; +fs = 44100; +fstart = 44; +fend = 400; +df = (fend-fstart)/L; + +ip = 0 % phase of the first output sample in radians + +% Init + +% Loop +f = fstart; +fchg = 1; + +y1=sin(ip-f*pi / fs); +y2=sin(ip-2*f*pi / fs); + +for n=1:L, + +if fchg == 1, + b1 = 2.0 * cos(f*pi / fs); + fchg = 1000; +end; + +y0 = b1*y1 - y2; +y2 = y1; +y1 = y0; + +fchg = fchg - 1; + +lfo(n) = y0; +f = f + df; + +close all + +end; + +figure; +plot(1:L, lfo); grid; + +wavwrite(0.5*lfo, fs, 'lfo.wav'); + diff --git a/matlab/lfo/eval_lfo2.asv b/matlab/lfo/eval_lfo2.asv new file mode 100755 index 0000000..15168cf --- /dev/null +++ b/matlab/lfo/eval_lfo2.asv @@ -0,0 +1,47 @@ +function eval_lfo2() + +L = 80000; +fs = 48000; +fstart = 10; +fend = 1000; +df = (fend-fstart)/L; + +ip = 0.0 % phase of the first output sample in radians + +% Init + +% Loop +f = fstart; +fchg = 0; + +ylast = 0; +a = 0.5; +b = 2.0 * sin(f*pi / fs); +y0 = a*cos(2*pi*ip); +y1 = a*sin(2*pi*ip); + +for n=1:L, + +y0 = y0 - b*y1; +y1 = y1 + b*y0; + +fchg = (mod(n, 1000) == 0); + +if fchg + b = 2.0 * sin(f*pi / fs); +end + +ylast = y1; + +lfo(n) = y0; +f = f + df; + +close all + +end; + +figure; +plot(1:L, lfo); grid; + +wavwrite(0.5*lfo, fs, 'lfo.wav'); + diff --git a/matlab/lfo/eval_lfo2.m b/matlab/lfo/eval_lfo2.m new file mode 100755 index 0000000..b15e13b --- /dev/null +++ b/matlab/lfo/eval_lfo2.m @@ -0,0 +1,47 @@ +function eval_lfo2() + +L = 80000; +fs = 48000; +fstart = 10; +fend = 5000; +df = (fend-fstart)/L; + +ip = 0.0 % phase of the first output sample in radians + +% Init + +% Loop +f = fstart; +fchg = 0; + +ylast = 0; +a = 0.5; +b = 2.0 * sin(f*pi / fs); +y0 = a*cos(2*pi*ip); +y1 = a*sin(2*pi*ip); + +for n=1:L, + +y0 = y0 - b*y1; +y1 = y1 + b*y0; + +fchg = (mod(n, 1000) == 0); + +if fchg + b = 2.0 * sin(f*pi / fs); +end + +ylast = y1; + +lfo(n) = y0; +f = f + df; + +close all + +end; + +figure; +plot(1:L, lfo); grid; + +wavwrite(0.5*lfo, fs, 'lfo.wav'); + diff --git a/matlab/lfo/eval_smooth.asv b/matlab/lfo/eval_smooth.asv new file mode 100755 index 0000000..bde255e --- /dev/null +++ b/matlab/lfo/eval_smooth.asv @@ -0,0 +1,21 @@ +function eval_smooth(Ta) + +fs = 10000; + +b = 1; +if (abs(Ta) > 0) + b = 1/(abs(Ta)*fs); +end; + +a = 1 - b; + +x = [ zeros(1, 1000) ones(1, 1000) zeros(1, 1000)]; + +y = 0; +for i=1:length(x) + if (Ta < 0) + y = b*x(i) + a*y; + yn(i) = y; +end; + +plot(yn); grid; \ No newline at end of file diff --git a/matlab/lfo/eval_smooth.m b/matlab/lfo/eval_smooth.m new file mode 100755 index 0000000..a6999f3 --- /dev/null +++ b/matlab/lfo/eval_smooth.m @@ -0,0 +1,34 @@ +function eval_smooth(Ta) + +fs = 10000; + +b = 1; +if (abs(Ta) > 0) + b = 1/(abs(Ta)*fs); +end; + +a = 1 - b; + +x = [ zeros(1, 1000) ones(1, 1000) zeros(1, 1000)]; +N = length(x); + +y = 0; +y1 = 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+limit_thresh = 0.25; + +[x, fs, nbits, opts] = wavread(name); +x = x.*input_gain; + +N = fix(length(x)/); + +a_r = 1000/(Tr*fs); +a_f = 1000/(Tf*fs); + +y = 0; +for n=1:N + if (y < abs(x(n))) + y = y + a_r*(abs(x(n)) - y); + else + y = y + a_f*(abs(x(n)) - y); + end + env(n) = y; +end; + +limiter_gain = limit_thresh./max(limit_thresh, env)'; +x_limited = x(1:N).*limiter_gain.*output_gain; + +wavwrite(x_limited,fs,'limiter_out.wav'); + +subplot(2, 1, 1) +plot(0:N-1, x(1:N), 0:N-1, env, 'r-'); grid; +subplot(2, 1, 2) +plot(0:N-1, x_limited, 0:N-1, limiter_gain, 'r-'); grid; + + diff --git a/matlab/limiter/eval_limiter.m b/matlab/limiter/eval_limiter.m new file mode 100755 index 0000000..8c92020 --- /dev/null +++ b/matlab/limiter/eval_limiter.m @@ -0,0 +1,38 @@ +function eval_limiter(name) + +Tr = 1; % ms +Tf = 100; % ms +input_gain = 2; +output_gain = 0.5; + +limit_thresh = 0.25; + +[x, fs, nbits, opts] = wavread(name); +x = x.*input_gain; + +N = fix(length(x)); + +a_r = 1000/(Tr*fs); +a_f = 1000/(Tf*fs); + +y = 0; +for n=1:N + if (y < abs(x(n))) + y = y + a_r*(abs(x(n)) - y); + else + y = y + a_f*(abs(x(n)) - y); + end + env(n) = y; +end; + +limiter_gain = limit_thresh./max(limit_thresh, env)'; +x_limited = x(1:N).*limiter_gain.*output_gain; + +wavwrite(x_limited,fs,'limiter_out.wav'); + +subplot(2, 1, 1) +plot(0:N-1, x(1:N), 0:N-1, env, 'r-'); grid; +subplot(2, 1, 2) +plot(0:N-1, x_limited, 0:N-1, limiter_gain, 'r-'); grid; + + diff --git a/matlab/limiter/limit_test1.wav b/matlab/limiter/limit_test1.wav new file mode 100755 index 0000000000000000000000000000000000000000..cadc0e7a129195034dcc1782d646211246995114 GIT binary patch literal 105884 zcmXVX1(*~$({Q9^Yz22Y+}+(4Ioyr~4u=I6*Tdc6#ogtALl$?}#ob|Xmt|#U+LQb> z`+rYA-I0=1(n+O~RN6FY*l_sT#)zOu)Vs&X9zy}= ztT-pmh+E>ZcqHzL`{E(I@#2uUEN%eghBz-yikkqxEgnGXCWH^gU4ULqi=Tz?HsGBG zyaVDtpu7t?cg1sno)^~ua!i~RC&WQ;z>;(8hkRe2S z1|&NnE}poT6m$OMDd{0sd0F5s8qm14gQ_0qO_^1t8})q?1Gd@^s;c 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zhFTSGtu7SDEVKI?Kz}{C(1-uuk33aB=^fy~J8WUS7 zPxhc${D-NO;6Y7w;Zi&6l{A)hl+qpHPLa2rsXWZ))G9ka6{ZLlMpEw3x%f=6Z22a3 zQxzE~*Y(mD+;uB?6b;dvJRKy1Oea*-;ThVRBVoCo#gzx4gzB)VF?gnW0WX*pM7) z8!M0YFaSQzNnF+gYYziWgprQuEi@As&EWsW;wRPVO4I8~`Ic3fCR?cIT~S+4kL;M~ gl^qoKI#kHV#Zn9NA~Dw(FQYBCmE6Df7ah+30l`^)_y7O^ literal 0 HcmV?d00001 diff --git a/matlab/midi/eval_midi_sync.asv b/matlab/midi/eval_midi_sync.asv new file mode 100755 index 0000000..a6da3c9 --- /dev/null +++ b/matlab/midi/eval_midi_sync.asv @@ -0,0 +1,77 @@ +function eval_midi_sync(pe, fe) +N = 5000; +t = (0:N-1)/N; + +x1 = mod(20*t, 1) >=0.5; +x2 = mod((20+fe)*t+pe, 1) >=0.5; + +dx1 = 50/N +dx2 = (50+fe)/N + +qi1 = 0; +qi2 = 0; +xi1 = 0; +xi2 = 0; +xx1 = 0; +xx2 = 0; + +lead = 0; +lag = 0; +ddx = 0; +for i=1:N, +%[qi1, qi2, xi1, xi2] = pd(x1(i), x2(i), qi1, qi2, xi1, xi2); +[qi1, qi2, xi1, xi2] = pd(xx1 >=0.5, xx2 >=0.5, qi1, qi2, xi1, xi2); +err = (qi1-qi2); +lead = 0.*err; +lag = lag + 0.000001*err; +ddx = (lead+lag); +xx1 = mod(xx1 + dx1, 1); +xx2 = mod(xx2 + dx2 + ddx, 1); + + +q1(i) = qi1; +q2(i) = qi2; + +end; + +dx2 = dx2 + ddx +dx1 = dx1 + +subplot(3, 1, 1) +plot(t, x1, t, x2); grid; axis([0 1 -0.2 1.2]) +subplot(3, 1, 2) +plot(t, q1); grid; axis([0 1 -0.2 1.2]) +subplot(3, 1, 3) +plot(t, q2); grid; axis([0 1 -0.2 1.2]) + + +function [Q1, Q2, xo1, xo2] = pd(x1, x2, qi1, qi2, xi1, xi2) +xo1 = xi1; +xo2 = xi2; +qo1 = qi1; +qo2 = qi2; +for i=1:length(x1) + % Q1 + % Detect edge + if (x1(i) - xo1) > 0.5 + qo1 = 1; + end; + xo1 = x1(i); + + % Q2 + % Detect edge + if (x2(i) - xo2) > 0.5 + qo2 = 1; + end; + xo2 = x2(i); + + % Asynchronous reset + if (qo1 * qo2) > 0.5 + qo1 = 0; + qo2 = 0; + end; + + Q1(i) = qo1; + Q2(i) = qo2; + +end; \ No newline at end of file diff --git a/matlab/midi/eval_midi_sync.m b/matlab/midi/eval_midi_sync.m new file mode 100755 index 0000000..fa4234f --- /dev/null +++ b/matlab/midi/eval_midi_sync.m @@ -0,0 +1,75 @@ +function eval_midi_sync(pe, fe) +N = 5000; +t = (0:N-1)/N; + +dx1 = 40/N +dx2 = (40+fe)/N + +qi1 = 0; +qi2 = 0; +xi1 = 0; +xi2 = 0; +xx1 = 0; +xx2 = pe; + +lead = 0; +lag = 0; +ddx = 0; +for i=1:N, + + [qi1, qi2, xi1, xi2] = pd(xx1 >=0.5, xx2 >=0.5, qi1, qi2, xi1, xi2); + err = (qi1-qi2); + lead = 0.002*err; + lag = lag + 0.000005*err; + ddx(i) = (lead+lag); + xx1 = mod(xx1 + dx1, 1); + xx2 = mod(xx2 + dx2 + ddx(i), 1); + + + q1(i) = qi1; + q2(i) = qi2; + x1(i) = xx1 >=0.5; + x2(i) = xx2 >=0.5; + +end; + +subplot(4, 1, 1) +plot(t, x1, t, x2); grid; axis([0 1 -0.2 1.2]) +subplot(4, 1, 2) +plot(t, q1); grid; axis([0 1 -0.2 1.2]) +subplot(4, 1, 3) +plot(t, q2); grid; axis([0 1 -0.2 1.2]) +subplot(4, 1, 4) +plot(t, ddx); grid; + + +function [Q1, Q2, xo1, xo2] = pd(x1, x2, qi1, qi2, xi1, xi2) +xo1 = xi1; +xo2 = xi2; +qo1 = qi1; +qo2 = qi2; +for i=1:length(x1) + % Q1 + % Detect edge + if (x1(i) - xo1) > 0.5 + qo1 = 1; + end; + xo1 = x1(i); + + % Q2 + % Detect edge + if (x2(i) - xo2) > 0.5 + qo2 = 1; + end; + xo2 = x2(i); + + % Asynchronous reset + if (qo1 * qo2) > 0.5 + qo1 = 0; + qo2 = 0; + end; + + Q1(i) = qo1; + Q2(i) = qo2; + +end; \ No newline at end of file diff --git a/matlab/osc/blep/eval_minblep.asv b/matlab/osc/blep/eval_minblep.asv new file mode 100755 index 0000000..f27af9e --- /dev/null +++ b/matlab/osc/blep/eval_minblep.asv @@ -0,0 +1,116 @@ +function eval_minblep() + +nsin = 4096; +nharm_max = 1800; +L = 48000/2; +fs = 48000; +fstart = 440; +fend = 440; +f2start = 200; +f2end = 600; +df = (fend-fstart)/L +df2 = (f2end-f2start)/L +saw = 0; + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; + +for mm=1:nharm + blitm(mm,:) = sin(xx*(mm-1)*pi)./sin(xx*pi).*Hw'; + blitm(mm,(find(isnan(blitm(mm,:))))) = (mm-1); +end; + +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +w = [1; 2*ones(nsin/2-1,1); ones(1 - rem(nsin,2),1); zeros(nsin/2-1,1)]'; +for mm=1:nharm + x_rc = real(ifft(log(abs(fft(blitm(mm, :)))))); + y = real(ifft(exp(fft(w.*x_rc)))); + minblepm(mm, :) = cumsum(y)/nsin; +end; + +x = 0; +x2 = 0; +z = 0; +f = fstart; +f2 = f2start; +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) +startup = 1; +blep = 1; +for n = 1:L, + + if x >= 1 || startup, + x = 0; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + blep_offset = 0; + blep_gain = 1; + z = ~z; + end; + if x2 >= 1 || startup, + x2 =0; + dx2 = f2/fs; +% blep_offset = -(1-x); +% blep_gain = x; +% x = 0; +% z = ~z; + end; + startup = 0; + + nn = (x+0.0)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + h = lagrange(NLG, nf); + blep = h(NLG+1)*minblepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*minblepm(m, max(1, ni-j)); + j = j + 1; + end; + + saw = x - blep_gain*blep + blep_offset; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + tri = tri + 2*(sqr-0.5)*dx; + vsqr(n) = 0.5*(sqr-0.5); + vtri(n) = tri; + vsaw(n,1) = x; + vsaw(n,2) = saw+0.5; + vblep(n,1) = x; + vblep(n,2) = blep; + x = x + dx; + f = f + df; + x2 = x2 + dx2; + f2 = f2 + df2; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :), 1:nsin, minblepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blep/eval_minblep.m b/matlab/osc/blep/eval_minblep.m new file mode 100755 index 0000000..16922f0 --- /dev/null +++ b/matlab/osc/blep/eval_minblep.m @@ -0,0 +1,116 @@ +function eval_minblep() + +nsin = 4096; +nharm_max = 1800; +L = 48000/2; +fs = 48000; +fstart = 440; +fend = 440; +df = (fend-fstart)/L +f2start = 200; +f2end = 600; +df2 = (f2end-f2start)/L +saw = 0; + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; + +for mm=1:nharm + blitm(mm,:) = sin(xx*(mm-1)*pi)./sin(xx*pi).*Hw'; + blitm(mm,(find(isnan(blitm(mm,:))))) = (mm-1); +end; + +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +w = [1; 2*ones(nsin/2-1,1); ones(1 - rem(nsin,2),1); zeros(nsin/2-1,1)]'; +for mm=1:nharm + x_rc = real(ifft(log(abs(fft(blitm(mm, :)))))); + y = real(ifft(exp(fft(w.*x_rc)))); + minblepm(mm, :) = cumsum(y)/nsin; +end; + +x = 0; +x2 = 0; +z = 0; +f = fstart; +f2 = f2start; +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) +startup = 1; +blep = 1; +for n = 1:L, + + if x >= 1 || startup, + x = 0; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + blep_offset = 0; + blep_gain = 1; + z = ~z; + end; + if x2 >= 1 || startup, + x2 =0; + dx2 = f2/fs; +% blep_offset = -(1-x); +% blep_gain = x; +% x = 0; +% z = ~z; + end; + startup = 0; + + nn = (x+0.0)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + h = lagrange(NLG, nf); + blep = h(NLG+1)*minblepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*minblepm(m, max(1, ni-j)); + j = j + 1; + end; + + saw = x - blep_gain*blep + blep_offset; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + vsqr(n) = 0.5*(sqr-0.5); + tri = tri + 2*(sqr-0.5)*dx; + vtri(n) = tri; + vsaw(n,1) = x; + vsaw(n,2) = saw+0.5; + vblep(n,1) = x; + vblep(n,2) = blep; + x = x + dx; + f = f + df; + x2 = x2 + dx2; + f2 = f2 + df2; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :), 1:nsin, minblepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blep/eval_minblep_pre.asv b/matlab/osc/blep/eval_minblep_pre.asv new file mode 100755 index 0000000..72fb350 --- /dev/null +++ b/matlab/osc/blep/eval_minblep_pre.asv @@ -0,0 +1,33 @@ +function eval_minblep_pre() + +f = 440; +N = 4000; +t = (-N/2:N/2-1)/N; + +x = sin(t*f*pi)./sin(t*pi); .* kaiser(N, 8)'; +x(find(isnan(x))) = f; +%x = x / f; + +% Real cepstrum +x_rc = real(ifft(log(abs(fft(x))))); +w = [1; 2*ones(N/2-1,1); ones(1 - rem(N,2),1); zeros(N/2-1,1)]'; +y = real(ifft(exp(fft(w.*x_rc)))); + +xi = cumsum(x)/N; +yi = cumsum(y)/N; + +close all; +subplot(2, 1, 1) +plot(t, x/f, t, xi, 'r'); grid; + +subplot(2, 1, 2) +plot(0:N-1, y/f, 0:N-1, yi, 'r'); grid; + +figure; +plot(t, xi); grid; + +figure; +plot(t, yi); grid; + +figure; +plot(w); grid; \ No newline at end of file diff --git a/matlab/osc/blep/eval_minblep_pre.m b/matlab/osc/blep/eval_minblep_pre.m new file mode 100755 index 0000000..fc4bb3f --- /dev/null +++ b/matlab/osc/blep/eval_minblep_pre.m @@ -0,0 +1,33 @@ +function eval_minblep_pre() + +f = 440; +N = 4000; +t = (-N/2:N/2-1)/N; + +x = sin(t*f*pi)./sin(t*pi);% .* kaiser(N, 8)'; +x(find(isnan(x))) = f; +%x = x / f; + +% Real cepstrum +x_rc = real(ifft(log(abs(fft(x))))); +w = [1; 2*ones(N/2-1,1); ones(1 - rem(N,2),1); zeros(N/2-1,1)]'; +y = real(ifft(exp(fft(w.*x_rc)))); + +xi = cumsum(x)/N; +yi = cumsum(y)/N; + +close all; +subplot(2, 1, 1) +plot(t, x/f, t, xi, 'r'); grid; + +subplot(2, 1, 2) +plot(0:N-1, y/f, 0:N-1, yi, 'r'); grid; + +figure; +plot(t, xi); grid; + +figure; +plot(t, yi); grid; + +figure; +plot(w); grid; \ No newline at end of file diff --git a/matlab/osc/blip/blep.wav b/matlab/osc/blip/blep.wav new file mode 100755 index 0000000000000000000000000000000000000000..ca8ef57b1adf855e6c1f3d66a461e8a929183c21 GIT binary patch literal 96044 zcmeI*|5M}joxt%|2oMM)&Dp4Iqj$ z`Zj>$PXJ3e&F=t&aR$}_bbkhz#R?=h2xInvBGH+c&u=S@t0NcN)~0 z&xx7L-wD6|Vc66^0$o{y0t`P8MuXTlehx#XDv2rQe0)CV?s$Xw zWyy|tG@&>5+OgbHe>7zoO!MZwGm} zfr4hPbLa!JjyGAL(8{(7i+Oj^%UtUGj7>NnX6|AgUoGzEZ6!C@LCI5W*pipAd(|;E zSfk(uuawVuzhS}JINPq3@t(Q_F7q9;NuOYz+oXK$HVJP(5oeJTf{pkk+*U8)i}k>p z81N8IKQ>civl(pW$7Y+@tP7g~HXFxgE^M}vlnAZZY#*Bq$zsBkk^=K7NzjlQ5j&|- z(JNPiJWUQ$Y5T&PenYIM>!CxTfv6%RMwMaV$gsjvh6S2ce-&ZX2Vy|&2A#$Ovzl`v zpnY9zX-`78?kh=#d6mU$1Js}&b+W=Id6`&SRXpIXMKVV+SGnS{@r{o z|5hMqe~WF~N9ubD99-tG1|}VsnWxam)(Vxpz35dQDLP~$&Ig&T7>`x)W4x(E%0nej zvVPYQQ)9E4QW^J`y~;MrZm}+G2JRF-?%rgsid$?2o3&P^@O^AH#a%Wa&ID^!e-vu7+bGR<{foX9<4iOqrNzEV6&y$5_mH<3uChZY^K9zv)C+v zy|!?=v6&Q`O<*%OHe1D9ZP@HUDuLm|xUgWe1#H%sEQQ_VBhe>27RnSEOs6D+FZCO- zk$OvX%F`i+GnV$1aHd}u%jsHZQDnlN;<6Z2hJ+!*409QF2;w=mt-2t3)I}iE)WM|Y zJ>k*5BG$BCXxFtuME6HAlKHr>>F-M4gj)HGkw4fj`>QHb;p@A(GUT4ikOFUep;RDVGn6CILo5f~<5-r~< znPAJs@LHXFod25dHm&4So#8>a`G$*|cZ zHuGSwHJo;A7Qrjt2zIk!vqfyygv~vpJ<*H5kMaxyOl1^;S9M9OtKJnI>O6?5>tR&$ zp>Swl6ieC?Xx6nuShpbtGJh#_dN0iCABRBJS+SLMr|34E25I(1n8WZsurozhol`6hj`339p++a|p zSC%c{`yOoTJ{3KgLqevv!=(N<;K|w+Ygwm7yTJ(&Ll{P~H-*jkQGC%@ z0ZpdIBq7sVqCe+WOl@w08M8v_&utf*xlM;%7QYnozLh(k_gkOK`nyvr*1rq1+Kx}` z+fK8gd=W6&f6C|ax3Qt%w``}t9O!l2%jI}In<`vj-l7-zdeKSV;e3QeovUoL_=nt4 z;^9jr&#-3KCJVdnBA^-qE$>p(1J1x2$V4Z?=YFpwP;I^&1& zS)&93rhdtmDH*zRVlk=trkF5GrS9B_Sj~O-u+8$g{xsuujHTcv?7R_?JT z&s7%ksCa*simS2LO!e2yUz5T&v0In-kU?#fjn^h}S6wn+sf)8#T!-vqvmtC|!d~+@ z4cKc3rx%;avDXxi7n`kPvkq()#cSFqHgjOJC2ZD=&BC}28AwV1U2+o4CdWkpn{COY z(2dQcsmEd>^=sjlC&8**4Q*+74yJu6hSQV5qR4>-#i3|aek^vCGU&@F1*Iw~rd8*J zPc4HD^(pAo9Eq6bKgF0f5uDg;S%>R(Y_^wqEC#WeAxjQ(c%B6f*TlBrbLh#=1(|U- zK54ulJf`nU)=WWY&q<3%a-J3=<|_%d+@Hc??lXr?79E5vXAJ#$oi%E!#wP-*JKs6%H^{(NlcB=pT85bBOIYpJlzp z9b8`WEk0E;&%CbJ*t(1Hj#3|wmcGkI%Ql#!ypS)IJ9)GFA`81eVFMLeTvwUHXDjzv zz;lIdc@(_6O2ei2yEuWrk8b>3T*cqVHt#Vzz-!uYt(04^*#b6e#AdrbT#I5eBzE}DeHdyvHGn8BTTzMG}y1!uC?hjc{g_g@IEqt=_fO$M& zw&s!ZcD$xVs-kQJ*CDo=B)*92kS1@8g|JzFZ30(gvza=<{Mc+0n{{C`z-Hsv%;g8Z zg3Vg7*FMe=HZx(bd7K7pwu8-jv6&p3O<^-{BA$cTtRo4}LA*yB#byp{wj`54bBY|o zDMAcjGo4%lv)C+DdA6#=>mdF%9%RU1SoOBBsBek|_3hB8 zQNga}1<|LyB9yxOVOnPaU*@mGM&_32)c+b{`dS#nb)(bpvRF2phnDR7VK4hQK4^SQ z7)*Cc=1ea^Feez_&PfnG=3ghsa(^P3%>DZ#kLBsun#HJX&-;&xNS-t}Vtws)o9%7? zqV1}`DgOt7P=0ry-+rrJU2v^_reKx(9ou}<@eu1O#5`G466svlZvhSZi?u z-!FcE50#u_Cf6U>yvxNKN*nl2=_jnW>oA~>uRKY7MlgUakho){q9-`m)6PnL>+K9He2-pZ^LE>w*eo< zW)^I=fXy1Q*Dg*UHdA7+X&fIm+rVa>*er(EwJ~hw#AeIbtR)Gz0kGL%GVU{AvpE^= zGvIl)or2dvY$lTnF^SDQX;N6j-^TXzV-ZO=!H7ZzHoTrKDkGvPqXa@3O6XU;Bh>1v zVn)ruuQ9@=<|Wak-4UQ`gK=FcxNxn%lKG}+)ephG{!SRmx=)x4lVaX*78GAjbGqZ}IsX&yFgGPc%~vF&xfhNcmYL%vOP{JaFRMJ9S9$w@_4c67 zR#ZQ0d(I!o_Xf7|p9*x_?MzzmPW?o|v)t{t!B-tatgY|_J1G1vA1-=^Tb%#R7Mzc= z#^PGOTl@&`D|w$OUC**nv8L;bZ01-0A+BE#rE>r6QH@;d+0t z@{k!kAvWhpAsx5Z+h! 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For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blip/eval_blep.m b/matlab/osc/blip/eval_blep.m new file mode 100755 index 0000000..ac48451 --- /dev/null +++ b/matlab/osc/blip/eval_blep.m @@ -0,0 +1,90 @@ +function eval_blep() + +nsin = 4096; +nharm_max = 1800; +L = 48000/2; +fs = 48000; +fstart = 440; +fend = 440; +df = (fend-fstart)/L + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; + +for mm=1:nharm + blitm(mm,:) = sin(xx*(mm-1)*pi)./sin(xx*pi).*Hw'; + blitm(mm,(find(isnan(blitm(mm,:))))) = (mm-1); +end; + +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +x = 0.0; +z = 0; +f = fstart; +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) +startup = 1; + +for n = 1:L, + + if x >= 0.5 || startup; + x = x - 1; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + z = ~z; + end; + startup = 0; + nn = (x+0.5)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + + h = lagrange(NLG, nf); + blep = h(NLG+1)*blepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*blepm(m, max(1, ni-j)); + j = j + 1; + end; + saw = x - blep; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + vsqr(n) = 0.5*(sqr-0.5); + tri = tri + 2*(sqr-0.5)*dx; + vtri(n) = tri; + vsaw(n,1) = x; + vsaw(n,2) = saw+0.5; + vblep(n,1) = x; + vblep(n,2) = blep; + x = x + dx; + f = f + df; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blip/eval_blep_hs.asv b/matlab/osc/blip/eval_blep_hs.asv new file mode 100755 index 0000000..02ef73c --- /dev/null +++ b/matlab/osc/blip/eval_blep_hs.asv @@ -0,0 +1,105 @@ +function eval_blep_hs() + +nsin = 1024; +nharm_max = 1800; +L = 48000; +fs = 48000; +fstart = 44; +fend = 44; +df = (fend-fstart)/L + + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; +for mm=1:nharm, + bb(mm, :) = sin((mm-1)*xx*pi); +end; +aa = sin(xx*pi); + +for mm=1:nharm + for nn=1:length(xx) + if (aa(nn) == 0) + blitm(mm,nn) = (mm-1); + else + blitm(mm,nn) = bb(mm, nn)/aa(nn).*Hw(nn); + end + end +end; +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +%blep2 = blepm(nharm_max/2+1, :)' +%aa2 = aa(:)' +%bb2 = bb(nharm_max/2+1, :)' + +x = 0.5; +x2 = 0.5; +z = 0; +f = fstart; + +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) + +for n = 1:L, + + if x >= 0.5, + x = x - 1; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + z = ~z; + end; + nn = (x+0.5)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + + h = lagrange(NLG, nf); + + % blep = (blepm(m, min(ni+1, nsin)) - blepm(m, ni))*nf + blepm(m, ni); + +% blep = h(1)*blepm(m, max(1, ni-3)) + h(2)*blepm(m, max(1, ni-2)) + h(3)*blepm(m, max(1, ni-1)) + h(4)*blepm(m, max(1, ni)); + blep = h(NLG+1)*blepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*blepm(m, max(1, ni-j)); + j = j + 1; + end; + saw = x - blep; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + tri = tri + 2*(sqr-0.5)*dx; + vtri(n) = tri; + vsaw(n) = saw+0.5; + vsqr(n) = 0.5*(sqr-0.5); + vblep(n) = blep; + x = x + dx; + f = f + df; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blip/eval_blep_hs.m b/matlab/osc/blip/eval_blep_hs.m new file mode 100755 index 0000000..374063e --- /dev/null +++ b/matlab/osc/blip/eval_blep_hs.m @@ -0,0 +1,145 @@ +function eval_blep_hs() + +nsin = 1024; +nharm_max = 256; +L = 4800; +fs = 48000; +fstart = 44; +fend = 44; +df = (fend-fstart)/L + + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; +for mm=1:nharm, + bb(mm, :) = sin((mm-1)*xx*pi); +end; +aa = sin(xx*pi); + +for mm=1:nharm + for nn=1:length(xx) + if (aa(nn) == 0) + blitm(mm,nn) = (mm-1); + else + blitm(mm,nn) = bb(mm, nn)/aa(nn).*Hw(nn); + end + end +end; +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +%blep2 = blepm(nharm_max/2+1, :)' +%aa2 = aa(:)' +%bb2 = bb(nharm_max/2+1, :)' + +x = 0.0; +x2 = -0.5; +z = 0; +f = fstart; +f2 = 0.6*f; +dx2 = f2/fs; +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) +sync = 0; +restart = 0; +startup = 1; +minblep_active = 0; +minblep_count = 0; +minblep_length = 200; +minblep = 1-(0:minblep_length-1)/minblep_length; +for n = 1:L, + + sync = 0; + if startup, + x = 0.0; + startup = 0; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + z = 0; + end; + if (x >= 0.5), + x = x - 1; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + z = ~z; + end; + if (x2 >= 0.5), + x2 = x2 - 1; + sync = 1; + startup = 1; + minblep_count = minblep_length; + end; + nn = (x+0.5)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + + h = lagrange(NLG, nf); + blep = h(NLG+1)*blepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*blepm(m, max(1, ni-j)); + j = j + 1; + end; + if (minblep_count > 0) + saw = saw_last - minblep(minblep_count)/(1-2*saw_last+minblep_length*dx); + minblep_count = minblep_count - 1; + minblep_active = 1; + else + minblep_active = 0; + saw = x - blep; + saw_last = saw; + end + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + tri = tri + 2*(sqr-0.5)*dx; + vtri(n) = tri; + + vsaw(n) = 2*(saw+0.5); + vsqr(n) = 0.5*(sqr-0.5); + vblep(n) = blep; + vx(n) = x; + vsync(n) = sync; + vminblep_active(n) = minblep_active; + x2 = x2 + dx2; + x = x + dx; + f = f + df; + +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :)); grid; + +figure; +subplot(3, 1, 1) +plot(1:L, vx, 1:L, vsync, 'r'); grid; +subplot(3, 1, 2) +plot(1:L, vblep); grid; +subplot(3, 1, 3) +plot(1:L, vsaw, 1:L, vminblep_active); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/blip/eval_blit.asv b/matlab/osc/blip/eval_blit.asv new file mode 100755 index 0000000..f6acdd0 --- /dev/null +++ b/matlab/osc/blip/eval_blit.asv @@ -0,0 +1,103 @@ +function eval_blit() + +sinc_use_lut = 1 + +L = 40000; +fs = 48000; +fstart = 110; +fend = 1100; +df = (fend-fstart)/L; + +nhw = 4096; +Hw = kaiser(nhw, 8)'; + +if sinc_use_lut == 1 + + nharm = 512; + nsin = 4096; + xx = (0:nsin)/nsin - 0.5; + mmm=0; + for mm=1:nharm, + mmm=mmm+1; + bb(mm, :) = sin(mmm*xx*pi); + end; + aa = sin(xx*pi); +end; + +sinc_m(mm, find(aa == 0)) = 1; + +x = 0.5; +z = -1; +f = fstart; +sqr = 0.0; +c4 = 0; +a = 1; +b = 1; +for n = 1:L, + + if x >= 0.5, + x = x - 1; + p = fs/f; + fraq = 1.0/p; + m = fix((p/2.0)) + 1; + saw = 0.0; + c3 = 0.0; + z = -z; + end; + if sinc_use_lut == 1 + nn = (x+0.5)*nsin + 1; + ni = fix(nn); + nf = nn - ni; + bbi = (bb(m, ni+1) - bb(m, ni))*nf + bb(m, ni); % Fractional delay (linear interpolation) + aai = (aa(ni+1) - aa(ni))*nf + aa(ni); % Fractional delay (linear interpolation) + if (aai ~= 0) + blit = fraq* bbi / aai * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + else + b = sin(m*x*pi); + a = sin(x*pi); + if (a ~= 0) + blit = fraq * b/a * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + end + + saw = saw + blit; + sqr = sqr + z*blit; + vsaw(n) = 2*(saw - c3); + vsqr(n) = 2*(sqr - 0.5); + vblit(n) = blit; + vc3(n) = b; + x = x + fraq; + c3 = c3 + fraq; + f = f + df; + c4 = c4 + fraq - blit; + vc4(n) = a; +end; + + +close all + +figure; +plot(1:L, vsaw, 1:L, vc4, 1:L, vblit); grid; + +figure; +plot(vc4); grid; + +figure; +plot(vc3); grid; + +if sinc_use_lut == 1 + figure; + plot(sinc_m(nharm, :)); grid; +end; + +wavwrite(0.5*vc4, fs, 'c4.wav'); +wavwrite(0.5*vc3, fs, 'c3.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblit, fs, 'blit.wav'); + diff --git a/matlab/osc/blip/eval_blit.bak.m b/matlab/osc/blip/eval_blit.bak.m new file mode 100755 index 0000000..bd1e326 --- /dev/null +++ b/matlab/osc/blip/eval_blit.bak.m @@ -0,0 +1,116 @@ +function eval_blit() +Nb = 33; +Nos = 1000; +fs = 48000; +f = 440; +fcut = 16000; +P = fs/f +Pi = floor(P) +Pf = fix(Nos*(fs/f - Pi)) + +x = (0:Nb*Nos-1) - (Nb*Nos-1)/2; +H = sinc(2*fcut/fs.*x/Nos).*Kaiser(Nos*Nb, 8)'; +for ii=0:Nos-1, + for jj=0:Nb-1 + Hs(ii+1,jj+1) = H(Nos-ii+Nos*jj); + end +end; + +%Hs = init_steps(Nb, Nos); + +k = 1./sum(Hs'); +%k = ones(1, Nb); +y0 = 0; +y1 = 0; +y2 = .5; +ks = 0.002*f/55 +ii = 0; +ff = 0; +nn = 1; +jj = Nb; +kk = 1; +for i = 1:32000, + if ii == 0 + jj = 1; + kk = ff + 1; + ii = Pi; + ff = ff + Pf; + if ff > (Nos-1) + ff = ff - Nos; + ii = ii + 1; + end + end; + ii = ii - 1; + if jj <= Nb + y0 = y0 + k(kk)*Hs(kk,jj); % - ks*y0; + jj = jj + 1; + end; + y0 = y0 - ks*y0; + y1 = 1 - y0; + y2 = 0.001*y1 + 0.999*y2; + blit(nn) = y1-y2; + nn = nn + 1; +end; +wavwrite(0.7*blit, fs, 'blit.wav'); + +for ii = 1:Nos + step(ii,:) = k(ii).*filter(Hs(ii,:), 1, [ones(1,Nb)]); +end + +close all +plot(1:length(blit), blit, '-o'); grid; + +figure +plot(abs(fft(blit))); grid; + +figure +plot(step', '-'); grid; + +figure +plot(Hs(1,:)', '-+'); grid; + +function steps = init_steps(step_width, phase_count) + +low_pass = 0.999; % lower values filter more high frequency +high_pass = 0.990; % lower values filter more low frequency + +%phase_count = 32; % number of phase offsets to sample band-limited step at +%step_width = 16; % number of samples in each final band-limited step + +%steps [phase_count] [step_width]; // would use short for speed in a real program + + % Generate master band-limited step by adding sine components of a square wave + master_size = step_width * phase_count; + % master [master_size]; // large; might want to malloc() instead + for i = 0:master_size-1 + master(i+1) = 0.5; + end; + + gain = 0.5 / 0.777; % adjust normal square wave's amplitude of ~0.777 to 0.5 + sine_size = 256 * phase_count + 2; + max_harmonic = sine_size / 2 / phase_count; + for h = 1:2:max_harmonic + amplitude = gain / h; + to_angle = 3.14159265358979323846 * 2 / sine_size * h; + for i = 0:master_size-1 + master(i+1) = master(i+1) + sin( (i - master_size / 2) * to_angle ) * amplitude; + end + gain = gain * low_pass; + end + + % Sample master step at several phases + for phase = 0:phase_count-1 + error = 1.0; + prev = 0.0; + for i = 0:step_width-1 + cur = master (i * phase_count + (phase_count - 1 - phase)+1); + delta = cur - prev; + error = error - delta; + prev = cur; + steps (phase+1, i+1) = delta; + end + + % each delta should total 1.0 + steps (phase+1, step_width / 2) = steps (phase+1, step_width / 2) + error * 0.5; + steps (phase+1, step_width / 2 + 1) = steps (phase+1, step_width / 2 + 1) + error * 0.5; + end diff --git a/matlab/osc/blip/eval_blit.m b/matlab/osc/blip/eval_blit.m new file mode 100755 index 0000000..fa02623 --- /dev/null +++ b/matlab/osc/blip/eval_blit.m @@ -0,0 +1,89 @@ +function eval_blit() + +sinc_use_lut = 0 + +L = 40000; +fs = 48000; +fstart = 8*440; +fend = 8*440; +df = (fend-fstart)/L + +nhw = 4096; +Hw = kaiser(nhw, 8)'; + +max_m = fix((fs/fstart/2.0)) + 1 + +sinc_table_calc = sinc_use_lut; + +if sinc_table_calc == 1 + nharm = max_m + nsin = 1024; + xx = (0:nsin)/nsin - 0.5; + mmm=0; + for mm=1:nharm, + mmm=mmm+1; + bb(mm, :) = sin(mmm*xx*pi); + end; + aa = sin(xx*pi); +end; + +x = 0.5; +z = -1; +f = fstart; +sqr = 0.0; +saw = 0.0; +tri = 0.0; +a = 1; +b = 1; +for n = 1:L, + + if x >= 0.5, + x = x - 1; + p = fs/f; + fraq = 1.0/p; + m = fix((p/2.0)) + 1; + z = -z; + end; + if sinc_use_lut == 1 + nn = (x+0.5)*nsin + 1; + ni = fix(nn); + nf = nn - ni; + bbi = (bb(m, ni+1) - bb(m, ni))*nf + bb(m, ni); % Fractional delay (linear interpolation) + aai = (aa(ni+1) - aa(ni))*nf + aa(ni); % Fractional delay (linear interpolation) + if (aai ~= 0) + blit = fraq* bbi / aai * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + else + b = sin(m*x*pi); + a = sin(x*pi); + if (a ~= 0) + blit = fraq * b/a * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + end + + saw = saw + fraq - blit; + sqr = sqr + z*blit; + tri = tri + 2*(sqr-0.5)*fraq; + vtri(n) = tri; + vsaw(n) = saw; + vsqr(n) = 2*(sqr - 0.5); + vblit(n) = blit; + x = x + fraq; + f = f + df; +end; + + +close all + +figure; +plot(1:L, vsaw, 1:L, vblit); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblit, fs, 'blit.wav'); + diff --git a/matlab/osc/blip/eval_blit2.m b/matlab/osc/blip/eval_blit2.m new file mode 100755 index 0000000..cf44271 --- /dev/null +++ b/matlab/osc/blip/eval_blit2.m @@ -0,0 +1,128 @@ +function eval_blit() +L = 64000; +Nb = 65; +Nos = 8; +fs = 48000; +fstart = 440; +fend = 1760; +df = (fend-fstart)/L +fcut = 16000; + +x = (0:Nb*Nos-1) - (Nb*Nos-1)/2; +H = sinc(2*fcut/fs.*x/Nos).*Kaiser(Nos*Nb, 8)'; +for ii=0:Nos-1, + for jj=0:Nb-1 + Hs(ii+1,jj+1) = H(Nos-ii+Nos*jj); + end +end; + +%Hs = init_steps(Nb, Nos); + +f = fstart; +k = 1./sum(Hs') +%k = ones(1, Nb); +y0 = 0; +y1 = 0; +y2 = .5; +ks = 0.002*f/55 +ii = 0; +ff = 0; +nn = 1; +jj = Nb; +kk = 1; +for i = 1:L, + P = fs/f; + Pi = floor(P); + Pf = fix(Nos*(fs/f - Pi)); + + if ii == 0 + jj = 1; + kk = ff + 1; + ii = Pi; + ff = ff + Pf; + if ff > (Nos-1) + ff = ff - Nos; + ii = ii + 1; + end + end; + ii = ii - 1; + if jj <= Nb + y0 = k(kk)*Hs(kk,jj); % - ks*y0; + jj = jj + 1; + end; + y0 = y0 - ks*y0; + y1 = 1 - y0; + y2 = 0.001*y1 + 0.999*y2; + blit(nn) = y1-y2; % DC removal + nn = nn + 1; + f = f + df; + +end; +wavwrite(0.7*blit, fs, 'blit.wav'); + +for ii = 1:Nos + step(ii,:) = k(ii).*filter(Hs(ii,:), 1, [ones(1,Nb)]); +end + +DC = y2 + +close all +plot(H); grid; + +figure +plot(1:length(blit), blit, '-o'); grid; + +figure +plot(abs(fft(blit))); grid; + +figure +plot(step', '-'); grid; + +figure +plot(Hs(1,:)', '-+'); grid; + +function steps = init_steps(step_width, phase_count) + +low_pass = 0.999; % lower values filter more high frequency +high_pass = 0.990; % lower values filter more low frequency + +%phase_count = 32; % number of phase offsets to sample band-limited step at +%step_width = 16; % number of samples in each final band-limited step + +%steps [phase_count] [step_width]; // would use short for speed in a real program + + % Generate master band-limited step by adding sine components of a square wave + master_size = step_width * phase_count; + % master [master_size]; // large; might want to malloc() instead + for i = 0:master_size-1 + master(i+1) = 0.5; + end; + + gain = 0.5 / 0.777; % adjust normal square wave's amplitude of ~0.777 to 0.5 + sine_size = 256 * phase_count + 2; + max_harmonic = sine_size / 2 / phase_count; + for h = 1:2:max_harmonic + amplitude = gain / h; + to_angle = 3.14159265358979323846 * 2 / sine_size * h; + for i = 0:master_size-1 + master(i+1) = master(i+1) + sin( (i - master_size / 2) * to_angle ) * amplitude; + end + gain = gain * low_pass; + end + + % Sample master step at several phases + for phase = 0:phase_count-1 + error = 1.0; + prev = 0.0; + for i = 0:step_width-1 + cur = master (i * phase_count + (phase_count - 1 - phase)+1); + delta = cur - prev; + error = error - delta; + prev = cur; + steps (phase+1, i+1) = delta; + end + + % each delta should total 1.0 + steps (phase+1, step_width / 2) = steps (phase+1, step_width / 2) + error * 0.5; + steps (phase+1, step_width / 2 + 1) = steps (phase+1, step_width / 2 + 1) + error * 0.5; + end diff --git a/matlab/osc/blip/eval_blit3.m b/matlab/osc/blip/eval_blit3.m new file mode 100755 index 0000000..ffddd4f --- /dev/null +++ b/matlab/osc/blip/eval_blit3.m @@ -0,0 +1,68 @@ +function eval_blit() +L = 64000; +Nb = 137; +Nphases = 256; +fs = 48000; +fstart = 110*4; +fend = 110*4; +df = (fend-fstart)/L; +fcut = 16000; + +x = (0:Nb*Nphases-1) - (Nb*Nphases-1)/2; +H = sinc(2*fcut/fs.*x/Nphases);%.*Kaiser(Nphases*Nb, 8)'; +Hw = Kaiser(Nb, 18)'; + +for ii=0:Nphases-1, + for jj=0:Nb-1 + Hs(ii+1,jj+1) = H(Nphases-ii+Nphases*jj); + end +end; + + +f = fstart; +Pic = 1; +blit(1:L) = zeros(1, L); +blit_bp(1:L) = zeros(1, L); +pol = 1; +for n = Nb:L, + P = fs/f; + Pi = floor(P); + Pf = 1+fix(Nphases*(P - Pi)); + + if Pic >= Pi, + blit(n-Nb+1:n) = blit(n-Nb+1:n) + Hs(Pf,:).*Hw; + blit_bp(n-Nb+1:n) = blit_bp(n-Nb+1:n) + pol*Hs(Pf,:).*Hw; + Pic = 0; + pol = -pol; + end; + Pic = Pic + 1; + f = f + df; +end; + +mean_blit = 0.0034; +mean_saw = 0.00; + +saw(1:L) = zeros(1, L); +sqr(1:L) = zeros(1, L); +y_saw = 0; +y_sqr = 0; +for n = 2:L, + y_saw = y_saw + blit(n)-mean_blit; + y_sqr = y_sqr + blit_bp(n); + saw(n) = -y_saw -1; + sqr(n) = y_sqr; +end; + +saw_nodc = filter([1 -1], [1 -0.995], saw); +sqr_nodc = filter([1 -1], [1 -0.995], sqr); + +close all; +plot(saw); grid; + +figure; +plot(saw_nodc); grid; + +wavwrite(0.8*blit, fs, 'blit.wav'); +wavwrite(0.7*saw_nodc, fs, 'saw.wav'); +wavwrite(0.5*sqr_nodc, fs, 'sqr.wav'); + diff --git a/matlab/osc/blip/eval_blit4.asv b/matlab/osc/blip/eval_blit4.asv new file mode 100755 index 0000000..4c2cc16 --- /dev/null +++ b/matlab/osc/blip/eval_blit4.asv @@ -0,0 +1,92 @@ +function eval_blit() + +sinc_use_lut = 0 + +L = 40000; +fs = 48000; +fstart = 110; +fend = 1550; +df = (fend-fstart)/L; + +nhw = 4096; +Hw = kaiser(nhw, 8)'; + +ya = zeros(3,1); +yb = zeros(3,1); + +x = 0.5; +z = -1; +f = fstart; +sqr = 0.0; +c4 = 0; +for n = 1:L, + + + if x >= 0.5, + x = x - 1; + p = fs/f; + fraq = 1.0/p; + m = fix((p/2.0)) + 1; + saw = 0.0; + c3 = 0.0; + z = -z; + ip = 0; % phase of the first output sample in radians + w = f*pi / fs + ba1 = 2.0 * cos(w) + bb1 = 2.0 * cos(w) + + end; + + if sinc_use_lut == 1 + xi = fix((x+0.5)*nsin)+1 + if aa(xi) ~= 0 + blit = fraq*sinc_m(m, xi) * Hw(fix((x+0.5)*nhw)+1);; + else + blit = fraq; + end + else + b = fraq*sin(m*x*pi); + a = sin(x*pi); + if (a ~= 0) + blit = b/a * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + end + + saw = saw + blit; + sqr = sqr + z*blit; + vsaw(n) = 2*(saw - c3); + vsqr(n) = 2*(sqr - 0.5); + vblit(n) = blit; + vc3(n) = c3; + x = x + fraq; + c3 = c3 + fraq; + f = f + df; + c4 = c4 + fraq - blit; + vc4(n) = c4; +end; + + +close all + +figure; +plot(1:L, vsaw, 1:L, vc4, 1:L, vblit); grid; + +figure; +plot(vblit); grid; + +figure; +plot(vc3); grid; + +if sinc_use_lut == 1 + figure; + plot(sinc_m(nharm, :)); grid; +end; + +wavwrite(0.5*vc4, fs, 'c4.wav'); +wavwrite(0.5*vc3, fs, 'c3.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblit, fs, 'blit.wav'); + diff --git a/matlab/osc/blip/eval_blit4.m b/matlab/osc/blip/eval_blit4.m new file mode 100755 index 0000000..e3b4582 --- /dev/null +++ b/matlab/osc/blip/eval_blit4.m @@ -0,0 +1,88 @@ +function eval_blit4() + +L = 4000; +fs = 48000; +fstart = 110; +fend = 110; +df = (fend-fstart)/L; + +nhw = 4096; +Hw = kaiser(nhw, 8)'; + +ya = zeros(3,1); +yb = zeros(3,1); + +x = 0.5; +z = -1; +f = fstart; +sqr = 0.0; +c4 = 0; + +for n = 1:L, + + + if x >= 0.5, + x = x - 1; + p = fs/f; + fraq = 1.0/p; + m = fix((p/2.0)) + 1 + saw = 0.0; + c3 = 0.0; + z = -z; + ip = -pi/2; % phase of the first output sample in radians + w = f*pi / fs; + ba1 = 2.0 * cos(w); + bb1 = 2.0 * cos(m*w); + ya(2)=sin(ip-w); + ya(3)=sin(ip-2*w); + yb(2)=sin(ip-m*w); + yb(3)=sin(ip-2*m*w); + end; + + ya(1) = ba1*ya(2) - ya(3); + ya(3) = ya(2); + ya(2) = ya(1); + + yb(1) = bb1*yb(2) - yb(3); + yb(3) = yb(2); + yb(2) = yb(1); + + b = fraq*yb(1); + a = ya(1); + if (a ~= 0) + blit = b/a * Hw(fix((x+0.5)*nhw)+1); + else + blit = fraq; + end + + saw = saw + blit; + sqr = sqr + z*blit; + vsaw(n) = 2*(saw - c3); + vsqr(n) = 2*(sqr - 0.5); + vblit(n) = blit; + vc3(n) = b; + x = x + fraq; + c3 = c3 + fraq; + f = f + df; + c4 = c4 + fraq - blit; + vc4(n) = a; +end; + + +close all + +figure; +plot(1:L, vsaw, 1:L, vc4, 1:L, vblit); grid; + +figure; +plot(vc4); grid; + +figure; +plot(vc3); grid; + +wavwrite(0.5*vc4, fs, 'c4.wav'); +wavwrite(0.5*vc3, fs, 'c3.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblit, fs, 'blit.wav'); + diff --git a/matlab/osc/eval_hardsync.asv b/matlab/osc/eval_hardsync.asv new file mode 100755 index 0000000..6f77f0b --- /dev/null +++ b/matlab/osc/eval_hardsync.asv @@ -0,0 +1,125 @@ +function eval_hardsync() + +nsin = 4096; +nharm_max = 1800; +L = 48000/2; +fs = 48000; +fstart = 440; +fend = 440; +df = (fend-fstart)/L +f2start = 400; +f2end = 400; +df2 = (f2end-f2start)/L + +% Calc blep table +nharm = min(fix((fs/min(fstart, f2start)/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; + +for mm=1:nharm + blitm(mm,:) = sin(xx*(mm-1)*pi)./sin(xx*pi).*Hw'; + blitm(mm,(find(isnan(blitm(mm,:))))) = (mm-1); +end; + +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +x = 0.0; +x2 = 0.0; +z = 0; +f = fstart; +f2 = f2start; +tri = 0; +saw = 0; +NLG = 2; +h = lagrange(1, 0.35) +startup = 1; + +for n = 1:L, + + if x >= 1 || startup; + x = 0; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + blep_offset = 0; + blep_gain = 1; + z = ~z; + end; + if x2 >= 1 || startup, + x2 =0; + p2 = fs/f2; + dx2 = 1.0/p2; + m2 = min(fix((p2/2.0)) + 1, nharm_max); +% blep_offset = -(1-(x+0.5)); +% blep_gain = x+0.5; +% x = 0; +% z = ~z; + end; + startup = 0; + + % BLEP 1 + nn = (x+0.0)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + h = lagrange(NLG, nf); + blep = h(NLG+1)*blepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*blepm(m, max(1, ni-j)); + j = j + 1; + end; + + % BLEP 2 + nn = (x2+0.0)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + h = lagrange(NLG, nf); + blep2 = h(NLG+1)*blepm(m2, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep2 = blep2 + h(i)*blepm(m2, max(1, ni-j)); + j = j + 1; + end; + + saw = x - blep; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + vsqr(n) = 0.5*(sqr-0.5); + tri = tri + 2*(sqr-0.5)*dx; + vtri(n,1) = sqr; + vtri(n,2) = tri; + vsaw(n,1) = x; + vsaw(n,2) = tri; + vblep(n,1) = x; + vblep(n,2) = blep; + x = x + dx; + f = f + df; + x2 = x2 + dx2; + f2 = f2 + df2; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/eval_hardsync.m b/matlab/osc/eval_hardsync.m new file mode 100755 index 0000000..61dd297 --- /dev/null +++ b/matlab/osc/eval_hardsync.m @@ -0,0 +1,107 @@ +function eval_hardsync() + +nsin = 4096; +nharm_max = 1800; +L = 48000/2; +fs = 48000; +fstart = 440; +fend = 440; +df = (fend-fstart)/L +f2start = 200; +f2end = 600; +df2 = (f2end-f2start)/L + +% Calc blep table +nharm = min(fix((fs/fstart/2.0)) + 1, nharm_max) +Hw = kaiser(nsin, 8); +xx = (0:nsin-1)/nsin - 0.5; + +for mm=1:nharm + blitm(mm,:) = sin(xx*(mm-1)*pi)./sin(xx*pi).*Hw'; + blitm(mm,(find(isnan(blitm(mm,:))))) = (mm-1); +end; + +for mm=1:nharm + blepm(mm, :) = cumsum(blitm(mm, :))/nsin; +end; + +x = 0.0; +x2 = 0.0; +z = 0; +f = fstart; +f2 = f2start; +tri = 0; +NLG = 2; +h = lagrange(1, 0.35) +startup = 1; + +for n = 1:L, + + if x >= 1 || startup; + x = x - 1; + p = fs/f; + dx = 1.0/p; + m = min(fix((p/2.0)) + 1, nharm_max); + z = ~z; + end; + if x2 >= 1 || startup, + x2 =0; + p2 = fs/f2; + dx2 = 1.0/p2; + m2 = min(fix((p2/2.0)) + 1, nharm_max); +% blep_offset = -(1-x); +% blep_gain = x; +% x = 0; +% z = ~z; + end; + startup = 0; + nn = (x+0.0)*(nsin-1) + 1; + ni = fix(nn); + nf = nn - ni; + + h = lagrange(NLG, nf); + blep = h(NLG+1)*blepm(m, max(1, ni)); + j = 1; + for i = NLG:-1:1 + blep = blep + h(i)*blepm(m, max(1, ni-j)); + j = j + 1; + end; + saw = x - blep; + if (z == 0) + sqr = blep; + else + sqr = 1-blep; + end + vsqr(n) = 0.5*(sqr-0.5); + tri = tri + 2*(sqr-0.5)*dx; + vtri(n) = tri; + vsaw(n,1) = x; + vsaw(n,2) = saw+0.5; + vblep(n,1) = x; + vblep(n,2) = blep; + x = x + dx; + f = f + df; + x2 = x2 + dx2; + f2 = f2 + df2; +end; + + +close all +plot(1:nsin, blepm(fix(nharm/2), :)); grid; + +wavwrite(0.5*vtri, fs, 'tri.wav'); +wavwrite(0.5*vsqr, fs, 'sqr.wav'); +wavwrite(0.5*vsaw, fs, 'saw.wav'); +wavwrite(0.5*vblep, fs, 'blep.wav'); + +function h = lagrange(N, delay) + %LAGRANGE h=lagrange(N,delay) returns order N FIR + % filter h which implements given delay + % (in samples). For best results, + % delay should be near N/2 +/- 1. + n = 0:N; + h = ones(1,N+1); + for k = 0:N + index = find(n ~= k); + h(index) = h(index) * (delay-k)./ (n(index)-k); + end diff --git a/matlab/osc/eval_harmonics.asv b/matlab/osc/eval_harmonics.asv new file mode 100755 index 0000000..d035720 --- /dev/null +++ b/matlab/osc/eval_harmonics.asv @@ -0,0 +1,11 @@ +function eval_harmonics(name) + +base = exp(1); +ke = 10; + +[x, fs, nbits] = wavread(name); + +y = (1 - base.^(-ke*fabs(x))) * sign(x); + + +wavrite(y, fs, nbits, \ No newline at end of file diff --git a/matlab/osc/eval_harmonics.m b/matlab/osc/eval_harmonics.m new file mode 100755 index 0000000..0e23438 --- /dev/null +++ b/matlab/osc/eval_harmonics.m @@ -0,0 +1,11 @@ +function eval_harmonics(name) + +base = exp(1); +ke = 2; + +[x, fs, nbits] = wavread(name); + +y = (1 - base.^(-ke*abs(x))) .* sign(x); + +yname = sprintf('out.wav', name); +wavwrite(y*0.8, fs, nbits, yname); diff --git a/matlab/osc/saw.wav b/matlab/osc/saw.wav 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100755 index 0000000..5b05d95 --- /dev/null +++ b/matlab/params/paramscale.asv @@ -0,0 +1,66 @@ +function paramscale(base, kexp, scenter, pcenter, pmin, pmax) + +N = 1000; +slider = (0:N)/N; + +p = toParam(base, kexp, scenter, pcenter, pmin, pmax, slider); +s = toSlider(base, kexp, scenter, pcenter, pmin, pmax, p); + +subplot (2, 1, 1) +plot (0:N, p); grid; xlabel('param'); +subplot (2, 1, 2) +plot (0:N, s); grid; xlabel('slider'); + +function param = toParam(base, kexp, scenter, pcenter, pmin, pmax, slider) + +% pcenter = pmax*scenter + pmin*(1-scenter) + + for i=1:length(slider), + s = min(1, max(0, slider(i))); + + if (s < scenter) + if (base == 1) + p = pcenter-(pcenter-pmin)*(scenter-s)/scenter; + % p = pcenter-(pcenter-pmin)*(scenter-s)/scenter; + else + p = pcenter-(pcenter-pmin)*(base^(kexp*(scenter-s)/scenter)-1)/(base^kexp-1); + % p = pcenter-(pcenter-pmin)*(pow(base,kexp*(scenter-s)/scenter)-1)/(pow(base,kexp)-1); + end + else + if (base == 1) + p = pcenter+(pmax-pcenter)*(-scenter+s)/(1-scenter); + % p = pcenter+(pmax-pcenter)*(-scenter+s)/(1-scenter); + else + p = pcenter+(pmax-pcenter)*(base^(kexp*(-scenter+s)/(1-scenter))-1)/(base^kexp-1); + % p = pcenter+(pmax-pcenter)*(pow(base,kexp*(-scenter+s)/(1-scenter))-1)/(pow(base,kexp)-1); + end; + end + param(i) = p; + end + +function slider = toSlider(base, kexp, scenter, pcenter, pmin, pmax, param) + +%pcenter = pmax*scenter + pmin*(1-scenter); + + for i=1:length(param), + p = param(i); + + if (p < pcenter) + if (base == 1) + s = (-pmin+p)*scenter/(pcenter-pmin); + % s = (-pmin+p)*scenter/(pcenter-pmin); + else + s = scenter*(log(base)*kexp-log(-(-pcenter*base^kexp+pmin+p*base^kexp-p)/(pcenter-pmin)))/log(base)/kexp; + % s = scenter*(log(base)*kexp-log(-(-pcenter*pow(base,kexp)+pmin+p*pow(base,kexp)-p)/(pcenter-pmin)))/log(base)/kexp; + end + else + if (base == 1) + s = (pcenter-scenter*pmax-p+scenter*p)/(-pmax+pcenter); + % s = (pcenter-scenter*pmax-p+scenter*p)/(-pmax+pcenter); + else + s = (kexp*log(base)*scenter+log(-(-pcenter*base^kexp+pmax+p*base^kexp-p)/(-pmax+pcenter))-log(-(-pcenter*base^kexp+pmax+p*base^kexp-p)/(-pmax+pcenter))*scenter)/log(base)/kexp; + % s = (kexp*log(base)*scenter+log(-(-pcenter*pow(base,kexp)+pmax+p*pow(base,kexp)-p)/(-pmax+pcenter))-log(-(-pcenter*pow(base,kexp)+pmax+p*pow(base,kexp)-p)/(-pmax+pcenter))*scenter)/log(base)/kexp; + end + end + slider(i) = s; + end diff --git a/matlab/params/paramscale.m b/matlab/params/paramscale.m new file mode 100755 index 0000000..162649d --- /dev/null +++ b/matlab/params/paramscale.m @@ -0,0 +1,13 @@ +function paramscale(base, kexp, scenter, pcenter, pmin, pmax) + +N = 1000; +slider = (0:N)/N; + +p = toParam(base, kexp, scenter, pcenter, pmin, pmax, slider); +s = toSlider(base, kexp, scenter, pcenter, pmin, pmax, p); + +subplot (2, 1, 1) +plot (slider, p); grid; xlabel('toParam(s)'); +subplot (2, 1, 2) +plot (slider, s); grid; xlabel('toSlider(p)'); + diff --git a/matlab/params/toParam.m b/matlab/params/toParam.m new file mode 100755 index 0000000..ba76cbe --- /dev/null +++ b/matlab/params/toParam.m @@ -0,0 +1,28 @@ +function param = toParam(base, kexp, scenter, pcenter, pmin, pmax, slider) + + if ((pcenter < pmin) || (pcenter > pmax)) + pcenter = pmax*scenter + pmin*(1-scenter); + end + + for i=1:length(slider), + s = min(1, max(0, slider(i))); + + if (s < scenter) + if (base == 1) + p = pcenter-(pcenter-pmin)*(scenter-s)/scenter; + % p = pcenter-(pcenter-pmin)*(scenter-s)/scenter; + else + p = pcenter-(pcenter-pmin)*(base^(kexp*(scenter-s)/scenter)-1)/(base^kexp-1); + % p = pcenter-(pcenter-pmin)*(pow(base,kexp*(scenter-s)/scenter)-1)/(pow(base,kexp)-1); + end + else + if (base == 1) + p = pcenter+(pmax-pcenter)*(-scenter+s)/(1-scenter); + % p = pcenter+(pmax-pcenter)*(-scenter+s)/(1-scenter); + else + p = pcenter+(pmax-pcenter)*(base^(kexp*(-scenter+s)/(1-scenter))-1)/(base^kexp-1); + % p = pcenter+(pmax-pcenter)*(pow(base,kexp*(-scenter+s)/(1-scenter))-1)/(pow(base,kexp)-1); + end; + end + param(i) = p; + end diff --git a/matlab/params/toSlider.m b/matlab/params/toSlider.m new file mode 100755 index 0000000..d031aa0 --- /dev/null +++ b/matlab/params/toSlider.m @@ -0,0 +1,28 @@ +function slider = toSlider(base, kexp, scenter, pcenter, pmin, pmax, param) + + if ((pcenter < pmin) || (pcenter > pmax)) + pcenter = pmax*scenter + pmin*(1-scenter); + end + + for i=1:length(param), + p = param(i); + + if (p < pcenter) + if (base == 1) + s = (-pmin+p)*scenter/(pcenter-pmin); + % s = (-pmin+p)*scenter/(pcenter-pmin); + else + s = scenter*(log(base)*kexp-log(-(-pcenter*base^kexp+pmin+p*base^kexp-p)/(pcenter-pmin)))/log(base)/kexp; + % s = scenter*(log(base)*kexp-log(-(-pcenter*pow(base,kexp)+pmin+p*pow(base,kexp)-p)/(pcenter-pmin)))/log(base)/kexp; + end + else + if (base == 1) + s = (pcenter-scenter*pmax-p+scenter*p)/(-pmax+pcenter); + % s = (pcenter-scenter*pmax-p+scenter*p)/(-pmax+pcenter); + else + s = (kexp*log(base)*scenter+log(-(-pcenter*base^kexp+pmax+p*base^kexp-p)/(-pmax+pcenter))-log(-(-pcenter*base^kexp+pmax+p*base^kexp-p)/(-pmax+pcenter))*scenter)/log(base)/kexp; + % s = (kexp*log(base)*scenter+log(-(-pcenter*pow(base,kexp)+pmax+p*pow(base,kexp)-p)/(-pmax+pcenter))-log(-(-pcenter*pow(base,kexp)+pmax+p*pow(base,kexp)-p)/(-pmax+pcenter))*scenter)/log(base)/kexp; + end + end + slider(i) = s; + end